SOLUTION: I was wondering if someone who is an expert in this area could help me? I don't understand how to obtain the answer for the following problem. In order for me to get a good grade,

Question 360730: I was wondering if someone who is an expert in this area could help me? I don't understand how to obtain the answer for the following problem. In order for me to get a good grade, I need to show all the steps I used to get the answer. I would be most appreciated and happy if you could show me how to solve the following problem:
Directions: Use the discriminant to determine the number and type of solutions for the given equation.
X^2+ 3x-4=0
according to my book it states that the answer is:
two rational solutions.
My question is how do I know this? What steps do I have to take to determine this? I thank you for your help!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
From we can see that , , and

Start with the discriminant formula.

Plug in , , and

Square to get

Multiply to get

Rewrite as

Add to to get

So the discriminant is

Since the discriminant is greater than zero, this means that there are two real solutions.

Note: because the discriminant is a perfect square, this means that the two real solutions are also two rational solutions.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
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